
Multi-parameter Singular Integrals, Volume I
Brian Street(Author)
Princeton University Press
Will be published approx. on 5. October 2014
Book
Paperback/Softback
416 pages
978-0-691-16252-2 (ISBN)
Description
This book develops a new theory of multi-parameter singular integrals associated with Carnot-Caratheodory balls. Brian Street first details the classical theory of Calderon-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Caratheodory geometry, where the main tool is a quantitative version of the classical theorem of Frobenius. Street then gives several examples of multi-parameter singular integrals arising naturally in various problems. The final chapter of the book develops a general theory of singular integrals that generalizes and unifies these examples. This is one of the first general theories of multi-parameter singular integrals that goes beyond the product theory of singular integrals and their analogs. Multi-parameter Singular Integrals will interest graduate students and researchers working in singular integrals and related fields.
More details
Series
Language
English
Place of publication
New Jersey
United States
Target group
College/higher education
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
7 line illus.
Dimensions
Height: 234 mm
Width: 156 mm
Thickness: 22 mm
Weight
623 gr
ISBN-13
978-0-691-16252-2 (9780691162522)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Brian Street
Multi-parameter Singular Integrals, Volume I
E-Book
10/2014
1st Edition
Princeton University Press
from
€304.95
Available for download
Person
Brian Street is assistant professor of mathematics at the University of Wisconsin-Madison.
Content
*FrontMatter, pg. i*Contents, pg. v*Preface, pg. ix*1. The Calderon-Zygmund Theory I: Ellipticity, pg. 1*2. The Calderon-Zygmund Theory II: Maximal Hypoellipticity, pg. 39*3. Multi-parameter Carnot-Caratheodory Geometry, pg. 198*4. Multi-parameter Singular Integrals I: Examples, pg. 223*5. Multi-parameter Singular Integrals II: General Theory, pg. 268*Appendix A. Functional Analysis, pg. 363*Appendix B. Three Results from Calculus, pg. 376*Appendix C. Notation, pg. 380*Bibliography, pg. 383*Index, pg. 393